rssn 0.2.9

A comprehensive scientific computing library for Rust, aiming for feature parity with NumPy and SymPy.
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//! Handle-based FFI API for numerical multi-valued functions.

use num_complex::Complex;

use crate::ffi_apis::ffi_api::update_last_error;
use crate::numerical::multi_valued;
use crate::symbolic::core::Expr;

/// Finds a root of a complex function using Newton's method.
///
/// # Safety
///
/// This function is unsafe because it dereferences raw pointers as part of the FFI boundary.
/// The caller must ensure:
/// 1. All pointer arguments are valid and point to initialized memory.
/// 2. The memory layout of passed structures matches the expected C-ABI layout.
/// 3. Any pointers returned by this function are managed according to the API's ownership rules.
#[unsafe(no_mangle)]
pub unsafe extern "C" fn rssn_num_mv_newton_method_complex(
    f_ptr: *const Expr,
    f_prime_ptr: *const Expr,
    start_re: f64,
    start_im: f64,
    tolerance: f64,
    max_iter: usize,
    res_re: *mut f64,
    res_im: *mut f64,
) -> i32 {
    unsafe {
        if f_ptr.is_null() || f_prime_ptr.is_null() || res_re.is_null() || res_im.is_null() {
            update_last_error(
                "Null pointer passed to rssn_num_mv_newton_method_complex".to_string(),
            );

            return -1;
        }

        let f = &*f_ptr;

        let f_prime = &*f_prime_ptr;

        let start_point = Complex::new(start_re, start_im);

        match multi_valued::newton_method_complex(f, f_prime, start_point, tolerance, max_iter) {
            | Some(root) => {
                *res_re = root.re;

                *res_im = root.im;

                0
            },
            | None => {
                update_last_error("Newton's method failed to converge".to_string());

                -1
            },
        }
    }
}

/// Computes the k-th branch of the complex logarithm.
///
/// # Safety
///
/// This function is unsafe because it dereferences raw pointers as part of the FFI boundary.
/// The caller must ensure:
/// 1. All pointer arguments are valid and point to initialized memory.
/// 2. The memory layout of passed structures matches the expected C-ABI layout.
/// 3. Any pointers returned by this function are managed according to the API's ownership rules.
#[unsafe(no_mangle)]
pub unsafe extern "C" fn rssn_num_mv_complex_log_k(
    re: f64,
    im: f64,
    k: i32,
    res_re: *mut f64,
    res_im: *mut f64,
) {
    unsafe {
        let z = Complex::new(re, im);

        let res = multi_valued::complex_log_k(z, k);

        *res_re = res.re;

        *res_im = res.im;
    }
}

/// Computes the k-th branch of the complex square root.
///
/// # Safety
///
/// This function is unsafe because it dereferences raw pointers as part of the FFI boundary.
/// The caller must ensure:
/// 1. All pointer arguments are valid and point to initialized memory.
/// 2. The memory layout of passed structures matches the expected C-ABI layout.
/// 3. Any pointers returned by this function are managed according to the API's ownership rules.
#[unsafe(no_mangle)]
pub unsafe extern "C" fn rssn_num_mv_complex_sqrt_k(
    re: f64,
    im: f64,
    k: i32,
    res_re: *mut f64,
    res_im: *mut f64,
) {
    unsafe {
        let z = Complex::new(re, im);

        let res = multi_valued::complex_sqrt_k(z, k);

        *res_re = res.re;

        *res_im = res.im;
    }
}

/// Computes the k-th branch of the complex power z^w.
///
/// # Safety
///
/// This function is unsafe because it dereferences raw pointers as part of the FFI boundary.
/// The caller must ensure:
/// 1. All pointer arguments are valid and point to initialized memory.
/// 2. The memory layout of passed structures matches the expected C-ABI layout.
/// 3. Any pointers returned by this function are managed according to the API's ownership rules.
#[unsafe(no_mangle)]
pub unsafe extern "C" fn rssn_num_mv_complex_pow_k(
    z_re: f64,
    z_im: f64,
    w_re: f64,
    w_im: f64,
    k: i32,
    res_re: *mut f64,
    res_im: *mut f64,
) {
    unsafe {
        let z = Complex::new(z_re, z_im);

        let w = Complex::new(w_re, w_im);

        let res = multi_valued::complex_pow_k(z, w, k);

        *res_re = res.re;

        *res_im = res.im;
    }
}

/// Computes the k-th branch of the complex n-th root.
///
/// # Safety
///
/// This function is unsafe because it dereferences raw pointers as part of the FFI boundary.
/// The caller must ensure:
/// 1. All pointer arguments are valid and point to initialized memory.
/// 2. The memory layout of passed structures matches the expected C-ABI layout.
/// 3. Any pointers returned by this function are managed according to the API's ownership rules.
#[unsafe(no_mangle)]
pub unsafe extern "C" fn rssn_num_mv_complex_nth_root_k(
    re: f64,
    im: f64,
    n: u32,
    k: i32,
    res_re: *mut f64,
    res_im: *mut f64,
) {
    unsafe {
        let z = Complex::new(re, im);

        let res = multi_valued::complex_nth_root_k(z, n, k);

        *res_re = res.re;

        *res_im = res.im;
    }
}

/// Computes the k-th branch of the complex arcsine.
///
/// # Safety
///
/// This function is unsafe because it dereferences raw pointers as part of the FFI boundary.
/// The caller must ensure:
/// 1. All pointer arguments are valid and point to initialized memory.
/// 2. The memory layout of passed structures matches the expected C-ABI layout.
/// 3. Any pointers returned by this function are managed according to the API's ownership rules.
#[unsafe(no_mangle)]
pub unsafe extern "C" fn rssn_num_mv_complex_arcsin_k(
    re: f64,
    im: f64,
    k: i32,
    res_re: *mut f64,
    res_im: *mut f64,
) {
    unsafe {
        let z = Complex::new(re, im);

        let res = multi_valued::complex_arcsin_k(z, k);

        *res_re = res.re;

        *res_im = res.im;
    }
}

/// Computes the k-th branch of the complex arccosine.
///
/// # Safety
///
/// This function is unsafe because it dereferences raw pointers as part of the FFI boundary.
/// The caller must ensure:
/// 1. All pointer arguments are valid and point to initialized memory.
/// 2. The memory layout of passed structures matches the expected C-ABI layout.
/// 3. Any pointers returned by this function are managed according to the API's ownership rules.
#[unsafe(no_mangle)]
pub unsafe extern "C" fn rssn_num_mv_complex_arccos_k(
    re: f64,
    im: f64,
    k: i32,
    s: i32,
    res_re: *mut f64,
    res_im: *mut f64,
) {
    unsafe {
        let z = Complex::new(re, im);

        let res = multi_valued::complex_arccos_k(z, k, s);

        *res_re = res.re;

        *res_im = res.im;
    }
}

/// Computes the k-th branch of the complex arctangent.
///
/// # Safety
///
/// This function is unsafe because it dereferences raw pointers as part of the FFI boundary.
/// The caller must ensure:
/// 1. All pointer arguments are valid and point to initialized memory.
/// 2. The memory layout of passed structures matches the expected C-ABI layout.
/// 3. Any pointers returned by this function are managed according to the API's ownership rules.
#[unsafe(no_mangle)]
pub unsafe extern "C" fn rssn_num_mv_complex_arctan_k(
    re: f64,
    im: f64,
    k: i32,
    res_re: *mut f64,
    res_im: *mut f64,
) {
    unsafe {
        let z = Complex::new(re, im);

        let res = multi_valued::complex_arctan_k(z, k);

        *res_re = res.re;

        *res_im = res.im;
    }
}